RG flows of integrable σ-models and the twist function

We consider a class of 2d σ-models on products of group spaces that provide new examples of a close connection between integrability and stability under the RG flow. We first study the integrable G × G model derived from the affine Gaudin construction (for which the 1-loop β-functions were found in arXiv:2010.07879) and show that its condition of integrability is preserved also by the 2-loop RG flow. We then investigate the RG flow in the gauged G × G/H model, in particular the integrable T1,1 model found in arXiv:2010.05573. We also construct a new class of integrable G × G/H models in the case when the subgroup H is abelian. In the simplest case of G = SU2, H = U1 this leads to an integrable σ-model on the T1,q space (with a particular B-field). This model is also shown to be stable under the 2-loop RG flow, and we relate this property to its invariance under T-duality in an isometric U1 direction. This T1,q model may be interpreted as an integrable deformation of the GMM model (of two coupled WZW theories with generic levels) away from the conformal point.

Section: Jhep05(2021)076mentioning

confidence: 52%

Section: Rg Flow In G × G Modelsmentioning

confidence: 79%

Section: Jhep05(2021)076mentioning

confidence: 98%

“…The most general integrable model with ρ 21 = 0 corresponds to the following choice of the parameters in (2.2) (this case was also considered in appendix C of [14])…”

Section: ρ 21 = 0 and The G × G Model Related To λ-Modelmentioning

confidence: 99%

“…At the obvious fixed point s = k 1 , t = k 2 , the model (2.8) becomes [14] the sum of two decoupled WZW models,…”

Section: Jhep05(2021)076mentioning

confidence: 99%

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